# Difference between revisions of "Euler problems/111 to 120"

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[[Category:Programming exercise spoilers]] |
[[Category:Programming exercise spoilers]] |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=111 Problem 111] == |

Search for 10-digit primes containing the maximum number of repeated digits. |
Search for 10-digit primes containing the maximum number of repeated digits. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=112 Problem 112] == |

Investigating the density of "bouncy" numbers. |
Investigating the density of "bouncy" numbers. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=113 Problem 113] == |

How many numbers below a googol (10100) are not "bouncy"? |
How many numbers below a googol (10100) are not "bouncy"? |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=114 Problem 114] == |

Investigating the number of ways to fill a row with separated blocks that are at least three units long. |
Investigating the number of ways to fill a row with separated blocks that are at least three units long. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=115 Problem 115] == |

Finding a generalisation for the number of ways to fill a row with separated blocks. |
Finding a generalisation for the number of ways to fill a row with separated blocks. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=116 Problem 116] == |

Investigating the number of ways of replacing square tiles with one of three coloured tiles. |
Investigating the number of ways of replacing square tiles with one of three coloured tiles. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=117 Problem 117] == |

Investigating the number of ways of tiling a row using different-sized tiles. |
Investigating the number of ways of tiling a row using different-sized tiles. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=118 Problem 118] == |

Exploring the number of ways in which sets containing prime elements can be made. |
Exploring the number of ways in which sets containing prime elements can be made. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=119 Problem 119] == |

Investigating the numbers which are equal to sum of their digits raised to some power. |
Investigating the numbers which are equal to sum of their digits raised to some power. |
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</haskell> |
</haskell> |
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− | == [http://projecteuler.net/index.php?section= |
+ | == [http://projecteuler.net/index.php?section=view&id=120 Problem 120] == |

Finding the maximum remainder when (a − 1)n + (a + 1)n is divided by a2. |
Finding the maximum remainder when (a − 1)n + (a + 1)n is divided by a2. |
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## Revision as of 10:29, 20 July 2007

## Contents

## Problem 111

Search for 10-digit primes containing the maximum number of repeated digits.

Solution:

```
problem_111 = undefined
```

## Problem 112

Investigating the density of "bouncy" numbers.

Solution:

```
problem_112 = undefined
```

## Problem 113

How many numbers below a googol (10100) are not "bouncy"?

Solution:

```
problem_113 = undefined
```

## Problem 114

Investigating the number of ways to fill a row with separated blocks that are at least three units long.

Solution:

```
problem_114 = undefined
```

## Problem 115

Finding a generalisation for the number of ways to fill a row with separated blocks.

Solution:

```
problem_115 = undefined
```

## Problem 116

Investigating the number of ways of replacing square tiles with one of three coloured tiles.

Solution:

```
problem_116 = undefined
```

## Problem 117

Investigating the number of ways of tiling a row using different-sized tiles.

Solution:

```
problem_117 = undefined
```

## Problem 118

Exploring the number of ways in which sets containing prime elements can be made.

Solution:

```
problem_118 = undefined
```

## Problem 119

Investigating the numbers which are equal to sum of their digits raised to some power.

Solution:

```
problem_119 = undefined
```

## Problem 120

Finding the maximum remainder when (a − 1)n + (a + 1)n is divided by a2.

Solution:

```
problem_120 = undefined
```